$$ I $$ am thinking of a number between 1 and 10 When $$ I $$ add 5 , then divide by 4 and multiply by $$ 5, I $$ get 10 . What is the number?

Question

UpStudy AI · Accepted Answer

Let's solve the problem step by step.

**Let’s denote the number you’re thinking of as** $$ x $$.

According to your description:

1. **Add 5 to the number:**
   $$
   x + 5
   $$

2. **Divide the result by 4:**
   $$
   \frac{x + 5}{4}
   $$

3. **Multiply the result by 5 to get 10:**
   $$
   \frac{x + 5}{4} \times 5 = 10
   $$

Now, let's solve for $$ x $$:

$$
\frac{x + 5}{4} \times 5 = 10
$$

Simplify the left side:

$$
\frac{(x + 5) \times 5}{4} = 10
$$

Multiply both sides by 4 to eliminate the denominator:

$$
(x + 5) \times 5 = 40
$$

Divide both sides by 5:

$$
x + 5 = 8
$$

Subtract 5 from both sides to solve for $$ x $$:

$$
x = 3
$$

**Therefore, the number you’re thinking of is** $$ \boxed{3} $$.
The number is 3.

\( I \) am thinking of a number between 1 and 10 When \( I \) add 5 , then divide by 4 and multiply by \( 5, I \) get 10 . What is the number?